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4y<64 {0,8,13,14,16,20} determine whether each number in the set makes the inequality true or not true.

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Final answer:

To determine if a number from the set {0, 8, 13, 14, 16, 20} satisfies the inequality 4y < 64, each number is compared to 16, the result of dividing 64 by 4. Numbers 0, 8, 13, and 14 make the inequality true, while 16 and 20 do not.

Step-by-step explanation:

The question involves determining whether each number in the set {0, 8, 13, 14, 16, 20} makes the inequality 4y < 64 true. To do this, we divide both sides of the inequality by 4 to simplify it to y < 16.

  • 0: Since 0 is less than 16, the inequality is true.
  • 8: Since 8 is less than 16, the inequality is true.
  • 13: Since 13 is less than 16, the inequality is true.
  • 14: Since 14 is less than 16, the inequality is true.
  • 16: Since 16 is not less than 16, the inequality is not true.
  • 20: Since 20 is greater than 16, the inequality is not true.

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